5 citations · 6 across the 8 of their papers we have counts for
15 papers
Tensorization of quasi-Hilbertian Sobolev spaces
Sylvester Eriksson-Bique, Tapio Rajala, Elefterios Soultanis
The tensorization problem for Sobolev spaces asks for a characterization of how the Sobolev space on a product metric measure space can be determined from its factors.…
A New Hausdorff Content Bound for Limsup Sets
Sylvester Eriksson-Bique
We give a new Hausdorff content bound for limsup sets, which is related to Falconer's sets of large intersection. Falconer's sets of large intersection satisfy a content bound for…
On Limits at Infinity of Weighted Sobolev Functions
Sylvester Eriksson-Bique, Khanh Nguyen, Pekka Koskela
We study necessary and sufficient conditions for a Muckenhoupt weight that yield almost sure existence of radial, and vertical, limits at in…
Bi-Lipschitz embeddings of quasiconformal trees
Guy C. David, Sylvester Eriksson-Bique, Vyron Vellis
A quasiconformal tree is a doubling metric tree in which the diameter of each arc is bounded above by a fixed multiple of the distance between its endpoints. In this paper we show…
On the Sharp Lower Bound for Duality of Modulus
Sylvester Eriksson-Bique, Pietro Poggi-Corradini
We establish a sharp reciprocity inequality for modulus in compact metric spaces with finite Hausdorff measure. In particular, when is also homeomorphic to a planar rectang…
Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry
Sylvester Eriksson-Bique, Gianmarco Giovannardi, Riikka Korte +2
We study existence, uniqueness, and regularity properties of the Dirichlet problem related to fractional Dirichlet energy minimizers in a complete doubling metric measure space $(X…